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Finding the Fourth Proportional to 30,723.25, 46,084.83 and 9,665.14

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Solution

The fourth proportional to 30,723.25, 46,084.83 and 9,665.14 is: 14,497.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,723.25 : 46,084.83 = 9,665.14 : x
  2. Step 2: Convert to fraction form
    30,723.25/46,084.83 = 9,665.14/x
  3. Step 3: Cross multiply
    30,723.25x = 46,084.83 × 9,665.14
  4. Step 4: Simplify right side
    30,723.25x = 445,416,333.83
  5. Step 5: Solve for x
    x = 445,416,333.83/30,723.25
  6. Step 6: Final answer
    x = 14,497.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.